{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def test_bipartiteness(graph):\n",
    "    partition = {}\n",
    "    nodes = [(i, None) for i in graph]\n",
    "\n",
    "    while nodes:\n",
    "        node, color = nodes.pop()\n",
    "\n",
    "        # assign default color\n",
    "        if color is None:\n",
    "            color = partition.get(node, 0)\n",
    "\n",
    "        # test bipartiteness\n",
    "        if node in partition:\n",
    "            if partition[node] != color:\n",
    "                raise ValueError('graph is not bipartite')\n",
    "            continue\n",
    "\n",
    "        # assign partition, DFS\n",
    "        partition[node] = color\n",
    "        nodes.extend((i, 1 - color) for i in graph[node])\n",
    "\n",
    "    return partition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## graph #1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0, 7: 0, 8: 0, 9: 0}"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "graph = nx.complete_multipartite_graph(5, 5)\n",
    "partition = test_bipartiteness(graph)\n",
    "partition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0Fe8bZ6I8ryboq/OYtIFscjoyeI0BypCfAO4jMqNrYHKgJkHMbqD0AzwV+JTt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\n2+PqFIUZXhVKjoiotgI3nA4+Cvh+A8dMiQmmx2Y4jvmx4OY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+xoQRV8dp2g9gcvFjEfF5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\nl+M4juM4ToL8P7sP5hoodhmZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a2627b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 8))\n",
    "plt.axis('off')\n",
    "\n",
    "colors = ['steelblue', 'red']\n",
    "node_color = [colors[partition[i]] for i in graph]\n",
    "pos = nx.circular_layout(graph)\n",
    "\n",
    "nx.draw_networkx(graph, pos=pos, node_color=node_color)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## graph #2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 1, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 1, 7: 0, 8: 1, 9: 0}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "graph = nx.circulant_graph(10, [1])\n",
    "partition = test_bipartiteness(graph)\n",
    "partition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4Wg19g0PbAJdSCq+Vvak9gQeAfYYH+m9vUjRJktpLxDrAJZTCazzbnuYCz6aL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\nACgSXwAAReILAKDoA4ZBNfVB/iCZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a3266a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 8))\n",
    "plt.axis('off')\n",
    "\n",
    "colors = ['steelblue', 'red']\n",
    "node_color = [colors[partition[i]] for i in graph]\n",
    "pos = nx.circular_layout(graph)\n",
    "\n",
    "nx.draw_networkx(graph, pos=pos, node_color=node_color)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## graph #3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "graph is not bipartite\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    graph = nx.complete_multipartite_graph(2, 2, 2)\n",
    "    test_bipartiteness(graph)\n",
    "except ValueError as e:\n",
    "    print(e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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T1xFDgKSZgSOAzWy/VEcMtv9je19gLuBJShmNQyW9o454ItomSVlES0h6l6Qj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\nS9tPd+s+Ed1i+++2NwWWpsy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NMRwALCBpjRpjiEDSgpIupDT5PhuYx/YZNSRkU1BaKe2Y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\niIiIFkhSFhEREdECScoiIiIiWuD/A2XRwWlhoKp9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a73c908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 8))\n",
    "plt.axis('off')\n",
    "\n",
    "nx.draw_networkx(graph, pos=nx.circular_layout(graph))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
